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ALGORITHMICA
2010
155views more  ALGORITHMICA 2010»
13 years 2 months ago
Bin Packing with Rejection Revisited
We consider the following generalization of bin packing. Each item is associated with a size bounded by 1, as well as a rejection cost, that an algorithm must pay if it chooses not...
Leah Epstein
IFIP
2004
Springer
13 years 8 months ago
Solving Packing Problem with Weaker Block Solvers
We study the general packing problem with M constraints. In [Jansen and Zhang, TCS 2002] a c(1 + ε)-approximation algorithm for the general packing problem was proposed. A block s...
Hu Zhang
SODA
2001
ACM
110views Algorithms» more  SODA 2001»
13 years 4 months ago
Improved approximation algorithms for rectangle tiling and packing
We provide improved approximation algorithms for several rectangle tiling and packing problems (RTILE, DRTILE and d-RPACK) studied in the literature. Our algorithms are highly eff...
Piotr Berman, Bhaskar DasGupta, S. Muthukrishnan, ...
MFCS
2005
Springer
13 years 8 months ago
Greedy Approximation via Duality for Packing, Combinatorial Auctions and Routing
We study simple greedy approximation algorithms for general class of integer packing problems. We provide a novel analysis based on the duality theory of linear programming. This e...
Piotr Krysta
WADS
2009
Springer
378views Algorithms» more  WADS 2009»
13 years 9 months ago
Two for One: Tight Approximation of 2D Bin Packing
In this paper, we study the two-dimensional geometrical bin packing problem (2DBP): given a list of rectangles, provide a packing of all these into the smallest possible number of ...
Klaus Jansen, Lars Prädel, Ulrich M. Schwarz